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Finding the Fourth Proportional to 314,276.64, 433,693.42 and 171,033.60

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Solution

The fourth proportional to 314,276.64, 433,693.42 and 171,033.60 is: 236,021.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,276.64 : 433,693.42 = 171,033.60 : x
  2. Step 2: Convert to fraction form
    314,276.64/433,693.42 = 171,033.60/x
  3. Step 3: Cross multiply
    314,276.64x = 433,693.42 × 171,033.60
  4. Step 4: Simplify right side
    314,276.64x = 74,176,146,918.91
  5. Step 5: Solve for x
    x = 74,176,146,918.91/314,276.64
  6. Step 6: Final answer
    x = 236,021.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.